On a New G-Frame and Duality

Document Type : Research Paper


1 Ferdowsi University of Mashhad

2 Department of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159-91775, Mashhad, Iran.



We introduce a new g-frame (singleton g-frame), g-orthonormal basis and g-Riesz basis and study corresponding notions in some other generalizations of frames.
Also, we investigate duality  for some kinds of g-frames. Finally, we illustrate an example which provides a  suitable translation from discrete frames to Sun's g-frames.


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